Question
Mon March 03, 2008 By:

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Expert Reply
Fri March 07, 2008

Two circular coils X and Y having radii R and R/2 respectively are placed in horizontal plane with their centres coinciding with each other. Coil X has a current I, Flowing through it in the clockwise sense. What  must be the current in coil Y to make the total magnetic field at the common centre of the two coils,zero ?

With the same currents flowing in the two coils, if the coil Y is now lifted vertically upwards through a distance R, what would be the net magnetic field at the centre of coil Y ?

 

The current in the inner coil should be anticlockwise direction.

For calculating the magnitude of current through Y:
- write the equation of magnetic field due to circular coil X of radius R and carrying known current I at its centre

- write the equation of magnetic field due to circular coil Y of radius R/2 and carrying unknown current I' at its centre

- equate the two equations and calculate for I'

 

In the second case:

- write the equation of magnetic field due to circular coil X of radius R and carrying known current I at its centre

- write the equation of magnetic field due to circular coil Y of radius R/2 and carrying unknown current I'' at a point at a distance R along its axis

- equate the two equations and calculate for I''

 

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